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A157649 Decimal expansion of (387 + 182*sqrt(2))/17^2.

%I A157649 #8 Sep 08 2022 08:45:42
%S A157649 2,2,2,9,7,1,2,3,4,7,2,3,8,4,1,9,7,1,9,3,1,4,5,5,8,2,9,6,9,0,7,1,4,5,
%T A157649 5,0,2,7,6,7,0,5,9,7,9,6,9,5,0,1,8,8,7,5,1,9,6,5,9,3,6,7,2,0,8,1,0,7,
%U A157649 7,2,7,0,2,6,9,9,3,2,0,0,0,3,7,0,5,0,8,8,3,4,3,4,1,7,4,0,7,4,9,5,6,3,2,4,3
%N A157649 Decimal expansion of (387 + 182*sqrt(2))/17^2.
%C A157649 Lim_{n -> infinity} b(n)/b(n-1) = (387 + 182*sqrt(2))/17^2 for n mod 3 = 1, b = A155923.
%H A157649 G. C. Greubel, <a href="/A157649/b157649.txt">Table of n, a(n) for n = 1..10000</a>
%F A157649 Equals (26 + 7*sqrt(2))/(26 - 7*sqrt(2)) = (3 + 2*sqrt(2))/((19 + 6*sqrt(2))/17)^2 = (3 + 2*sqrt(2))*(6 - sqrt(2))^2/(6 + sqrt(2))^2.
%e A157649 (387 + 182*sqrt(2))/17^2 = 2.22971234723841971931...
%t A157649 RealDigits[(387 + 182*Sqrt[2])/17^2, 10, 100][[1]] (* _G. C. Greubel_, Aug 17 2018 *)
%o A157649 (PARI) (387 + 182*sqrt(2))/17^2 \\ _G. C. Greubel_, Aug 17 2018
%o A157649 (Magma) SetDefaultRealField(RealField(100)); (387 + 182*Sqrt(2))/17^2; // _G. C. Greubel_, Aug 17 2018
%Y A157649 Cf. A118120, A155923, A002193 (decimal expansion of sqrt(2)), A156035 (decimal expansion of 3+2*sqrt(2)), A156163 (decimal expansion of (19+6*sqrt(2))/17).
%K A157649 cons,nonn
%O A157649 1,1
%A A157649 _Klaus Brockhaus_, Mar 11 2009